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Finding the Fourth Proportional to 48.70, 67.23 and 30.31

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Solution

The fourth proportional to 48.70, 67.23 and 30.31 is: 41.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.70 : 67.23 = 30.31 : x
  2. Step 2: Convert to fraction form
    48.70/67.23 = 30.31/x
  3. Step 3: Cross multiply
    48.70x = 67.23 × 30.31
  4. Step 4: Simplify right side
    48.70x = 2,037.74
  5. Step 5: Solve for x
    x = 2,037.74/48.70
  6. Step 6: Final answer
    x = 41.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.